Mathematical perspectives : essays on mathematics and its historical development : presented to Prof. Dr. Kurt-Reinhard Biermann on the occasion of his 60th birthday

Mathematical Perspectives: Essays on Mathematics and its Historical Development is a collection of 13 biographical essays on the historical advances of science. This collection is originally meant to comprise an issue of the journal Historia Mathematica in honor of Professor Kurt R. Biermann's 60th birthday. This 12-chapter text includes essays on studies and commentaries on the problem of “figures of equal perimeter” by various authors in antiquity, including Zenodorus, Theon, and Pappus. Other essays explore the comparison of the areas of polygons with equal perimeter; the concept of function; history of mathematics; the development of mathematical physics in France; and the history of Logicism and Formalism. The remaining chapters deal with essays on an early version of Gauss'Disquisitiones Arithmeticae, ideal numbers, a mathematical-philosophilica theory of probability, and historical examples of problem of number sequence interpolation. This book will be of value to mathematicians, historians, and researchers. Content: Inside Front Cover, Page ii Front Matter, Page iii Copyright, Page iv List of Contributors, Pages ix-x Preface, Pages xi-xii Kurt-Reinhard Biermann, Pages xiii-xv, JOSEPH W. DAUBEN Adrianus Romanus and Giovanni Camillo Glorioso on Isoperimetric Figures, Pages 1-11, PAUL P. BOCKSTAELE Des fonctions comme expressions analytiques aux fonctions représentables analytiquement, Pages 13-36, PIERRE DUGAC August Leopold Crelle und die Berliner Akademie der Wissenschaften, Pages 37-46, WOLFGANG ECCARIUS Hermite–Weber–Neumann: Kleine Briefgeschichte eines grossen Irrtums, Pages 47-51, E.A. FELLMANN Mittelalterliche mathematische Handschriften in westlichen Sprachen in der Berliner Staatsbibliothek. Ein vorläufiges Verzeichnis, Pages 53-93, MENSO FOLKERTS Mathematical Physics in France, 1800–1840: Knowledge, Activity, and Historiography, Pages 95-138, I. GRATTAN-GUINNESS Symbolik und Formalismus im mathematischen Denken des 19. und beginnenden 20. Jahrhunderts, Pages 139-165, EBERHARD KNOBLOCH An Early Version of Gauss's Disquisitiones Arithmeticae, Pages 167-177, UTA C. MERZBACH Über die Anstöße zu Kummers Schöpfung der “Idealen Complexen Zahlen”, Pages 179-199, OLAF NEUMANN Leibniz on the Probable, Pages 201-219, IVO SCHNEIDER Von Pascals Dreieck zu Eulers Gamma-Funktion. Zur Entwicklung der Methodik der Interpolation, Pages 221-235, CHRISTOPH J. SCRIBA Neue geometrische Texte aus Byzanz, Pages 237-246, KURT VOGEL Deutsche Mathematiker—Auswärtige Mitglieder der Akademie der Wissenschaften der UdSSR, Pages 247-259, A.P. JUSCHKEWITSCH Bibliographie, Pages 261-269 INDEX, Pages 269-272 Mathematical Perspectives: Essays on Mathematics and its Historical Development is a collection of 13 biographical essays on the historical advances of science. This collection is originally meant to comprise an issue of the journal Historia Mathematica in honor of Professor Kurt R. Biermann's 60th birthday. This 12-chapter text includes essays on studies and commentaries on the problem of "figures of equal perimeter by various authors in antiquity, including Zenodorus, Theon, and Pappus. Other essays explore the comparison of the areas of polygons with equal perimeter; the concept of function; history of mathematics; the development of mathematical physics in France; and the history of Logicism and Formalism. The remaining chapters deal with essays on an early version of Gauss' Disquisitiones Arithmeticae, ideal numbers, a mathematical-philosophilica theory of probability, and historical examples of problem of number sequence interpolation Edited By Joseph W. Dauben. Presented To Professor Dr. Kurt-reinhard Biermann On The Occasion Of His 60th Birthday. English, French, Or German. Includes Bibliographies And Index.